Question

The number of words that can be formed using all the letters of the word "$KANPUR$" when the vowels are in even places is

• A. $144$
• B. $36$
• C. $24$
• D. $48$

Answer 1

Answer: (A)

Given letters are $KANPUR$

Here, we have $3$ even places and $2$ vowels.

So the first vowel can occupy the place in $3$ ways and the second vowel can occupy the place in $2$ ways, then the remaining $4$ places can be occupied by consonants in $4!$ ways.

$=3_{P_1}\times 2_{P_1}\times 4!$

$=3\times 2\times 4\times 3\times 2\times 1$

$=144$
So, required number of ways $=144$

Hence, Option A is correct.